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Simplifying 4(2w + 1) = 52 Reorder the terms: 4(1 + 2w) = 52 (1 * 4 + 2w * 4) = 52 (4 + 8w) = 52 Solving 4 + 8w = 52 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8w = 52 + -4 Combine like terms: 4 + -4 = 0 0 + 8w = 52 + -4 8w = 52 + -4 Combine like terms: 52 + -4 = 48 8w = 48 Divide each side by '8'. w = 6 Simplifying w = 6
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